Disjunctive Languages

Yuqi Guo, Yun Liu and Shoufeng Wang
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Yuqi Guo: Lanzhou University, School of Mathematics and Statistics
Yun Liu: Yuxi Normal University, Department of Mathematics
Shoufeng Wang: Yunnan Normal University, Department of Mathematics

Chapter Chapter 4 in Topics on Combinatorial Semigroups, 2024, pp 103-130 from Springer

Abstract: Abstract The main topics of this chapter is disjunctive decompositions of languages. A language is said to be disjunctive decomposable if it can be decomposed into a disjoint union of several disjunctive languages. In 1970–1980s, when the study of disjunctive languages was becoming more popular, many scholars developed in-depth researches on the disjunctive decompositions of languages. In this chapter, we first give a brief introduction to the theory of disjunctive languages, and then, give in detail some kinds of finite and infinite disjunctive decompositions of dense languages.

Date: 2024
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DOI: 10.1007/978-981-99-9171-6_4

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